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413212011041 = 312434998869
BaseRepresentation
bin1100000001101010101…
…10101110101000100001
31110111120110022001221002
412000311112232220201
523232224233323131
6513454343241345
741565531066434
oct6006526565041
91414513261832
10413212011041
1114a273453895
12680bba49255
132cc7291135b
1415ddcb5981b
15ab367786cb
hex60355aea21

413212011041 has 12 divisors (see below), whose sum is σ = 427073908500. Its totient is φ = 399786599520.

The previous prime is 413212011019. The next prime is 413212011061. The reversal of 413212011041 is 140110212314.

It can be written as a sum of positive squares in 2 ways, for example, as 198167425600 + 215044585441 = 445160^2 + 463729^2 .

It is a de Polignac number, because none of the positive numbers 2k-413212011041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413212011061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4129955 + ... + 4228823.

It is an arithmetic number, because the mean of its divisors is an integer number (35589492375).

Almost surely, 2413212011041 is an apocalyptic number.

It is an amenable number.

413212011041 is a deficient number, since it is larger than the sum of its proper divisors (13861897459).

413212011041 is an equidigital number, since it uses as much as digits as its factorization.

413212011041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103280 (or 103249 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 413212011041 its reverse (140110212314), we get a palindrome (553322223355).

The spelling of 413212011041 in words is "four hundred thirteen billion, two hundred twelve million, eleven thousand, forty-one".

Divisors: 1 31 961 4349 98869 134819 3064939 4179389 95013109 429981281 13329419711 413212011041